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Finding the Third Proportional to 4,534,683.75 and 9,966,007.13

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Solution

The third proportional to 4,534,683.75 and 9,966,007.13 is: 21,902,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534,683.75 : 9,966,007.13 = 9,966,007.13 : x
  2. Step 2: Convert to fraction form
    4,534,683.75/9,966,007.13 = 9,966,007.13/x
  3. Step 3: Cross multiply
    4,534,683.75x = 9,966,007.13 × 9,966,007.13
  4. Step 4: Simplify right side
    4,534,683.75x = 99,321,298,015,550.77
  5. Step 5: Solve for x
    x = 99,321,298,015,550.77/4,534,683.75
  6. Step 6: Final answer
    x = 21,902,585.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.